Pith Number

pith:SEAAPOI7

pith:2016:SEAAPOI7DXZ7R5VJIY3H3RVJ2D

not attested not anchored not stored refs pending

The star-shapedness of a generalized numerical range

Nam-Kiu Tsing, Pan-Shun Lau, Tuen-Wai Ng

arxiv:1608.06094 v1 · 2016-08-22 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SEAAPOI7DXZ7R5VJIY3H3RVJ2D}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:08:22.312771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

910007b91f1df3f8f6a946367dc6a9d0ee45f56ce6e4bc75a7faf94bc02fc859

Aliases

arxiv: 1608.06094 · arxiv_version: 1608.06094v1 · doi: 10.48550/arxiv.1608.06094 · pith_short_12: SEAAPOI7DXZ7 · pith_short_16: SEAAPOI7DXZ7R5VJ · pith_short_8: SEAAPOI7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SEAAPOI7DXZ7R5VJIY3H3RVJ2D \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 910007b91f1df3f8f6a946367dc6a9d0ee45f56ce6e4bc75a7faf94bc02fc859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e19df38d7e54218548499677fd3d89cf535c274fcc83f475afc8004d8314de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-22T09:21:04Z",
    "title_canon_sha256": "a33bb170afb3d49db569dca5afd3305c2b0cf5b861269ee84b5adc19306f8d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06094",
    "kind": "arxiv",
    "version": 1
  }
}